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Finding the Third Proportional to 51,943.75 and 80,588.75

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Solution

The third proportional to 51,943.75 and 80,588.75 is: 125,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,943.75 : 80,588.75 = 80,588.75 : x
  2. Step 2: Convert to fraction form
    51,943.75/80,588.75 = 80,588.75/x
  3. Step 3: Cross multiply
    51,943.75x = 80,588.75 × 80,588.75
  4. Step 4: Simplify right side
    51,943.75x = 6,494,546,626.56
  5. Step 5: Solve for x
    x = 6,494,546,626.56/51,943.75
  6. Step 6: Final answer
    x = 125,030.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.